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math.SG2022
Obstructions to reversing Lagrangian surgery in Lagrangian fillings
Orsola Capovilla-Searle, Noémie Legout, Maÿlis Limouzineau +3
Given an immersed, Maslov-, exact Lagrangian filling of a Legendrian knot, if the filling has a vanishing index and action double point, then through Lagrangian surgery it is po…
math.SG2014★ 7 cited
Existence and classification of overtwisted contact structures in all dimensions
Matthew Strom Borman, Yakov Eliashberg, Emmy Murphy
We establish a parametric extension -principle for overtwisted contact structures on manifolds of all dimensions, which is the direct generalization of the -dimensional resul…